express the following decimal as a rational number 4.6724
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Let the no be x
x = 4.6724 (bar on 724)----(1)
10x =46.724------(2)
100x =467.24----(3)
1000x =4672.4----(4)
10000x =46724.724-----(5)
Subtract eq 2 from 5
9990x = 46678
x =46678/9990
x = 23339/4995
x = 4.6724 (bar on 724)----(1)
10x =46.724------(2)
100x =467.24----(3)
1000x =4672.4----(4)
10000x =46724.724-----(5)
Subtract eq 2 from 5
9990x = 46678
x =46678/9990
x = 23339/4995
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1
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